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Finding the Fourth Proportional to 9,210.51, 13,829.84 and 8,831.43

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Solution

The fourth proportional to 9,210.51, 13,829.84 and 8,831.43 is: 13,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.51 : 13,829.84 = 8,831.43 : x
  2. Step 2: Convert to fraction form
    9,210.51/13,829.84 = 8,831.43/x
  3. Step 3: Cross multiply
    9,210.51x = 13,829.84 × 8,831.43
  4. Step 4: Simplify right side
    9,210.51x = 122,137,219.71
  5. Step 5: Solve for x
    x = 122,137,219.71/9,210.51
  6. Step 6: Final answer
    x = 13,260.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.